What is the domain of f(x)=(sqrt(x))/(\sqrt[3]{x-1)} ?

The domain of f(x)=(sqrt(x))/(\sqrt[3]{x-1)} is 0 1

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domain of f(x)=(sqrt(x))/(\sqrt[3]{x-1)}

domain

0 \leq x < 1 or x > 1

Interval Notation

[0, 1) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 \leq x < 1 or x > 1

f (x) = x^{2} - 3

f (x) = x x - \frac{4}{x}

x^{4} - 12 x^{3} + 30 x^{2} + 36 x

h (x) = ln (x + 5)

f (x) = \frac{49}{15 x - 13}

What is the domain of f(x)=(sqrt(x))/(\sqrt[3]{x-1)} ?
The domain of f(x)=(sqrt(x))/(\sqrt[3]{x-1)} is 0<= x<1\lor x>1